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28223095680 = 273451341879
BaseRepresentation
bin11010010010001110…
…100100001110000000
32200211220201210220000
4122102032210032000
5430300103030210
620544314520000
72016252232533
oct322216441600
980756653800
1028223095680
1110a7322456a
125577a36000
13287a200520
14151a464a1a
15b02b33ac0
hex6923a4380

28223095680 has 320 divisors, whose sum is σ = 108545421600. Its totient is φ = 6947057664.

The previous prime is 28223095679. The next prime is 28223095687. The reversal of 28223095680 is 8659032282.

It is a happy number.

28223095680 is a `hidden beast` number, since 2 + 82 + 2 + 3 + 0 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28223095687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 652981 + ... + 694859.

Almost surely, 228223095680 is an apocalyptic number.

28223095680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28223095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54272710800).

28223095680 is an abundant number, since it is smaller than the sum of its proper divisors (80322325920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28223095680 is a wasteful number, since it uses less digits than its factorization.

28223095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41923 (or 41902 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 28223095680 in words is "twenty-eight billion, two hundred twenty-three million, ninety-five thousand, six hundred eighty".